The purpose of this case study was to examine prospective mathematics teachers' lessons in the context of choice and use of representations while teaching limit. The participants were four senior prospective mathematics teachers. The data were obtained from the participants' lessons plans, the video recordings of their lessons, and the…

This paper compares lessons on linear equations from the same curriculum materials taught by two teachers of different levels of mathematical knowledge for teaching (MKT). The analysis indicates that the mathematical quality of instruction in these two classrooms appears to be a function of differences in MKT. Although the two teachers were…

From preliminary analysis of teacher-nominated examples of successful technology-supported practice in secondary-school mathematics, the use of graphing software to teach about algebraic forms was identified as being an important archetype. Employing evidence from lesson observation and teacher interview, such practice was investigated in greater…

In early 2008 researchers from the University of Melbourne's "New Technologies for Teaching Mathematics" project created a lesson for the Year 10 students at their Victorian research schools. Two important goals of secondary school mathematics education are to build students' conceptual knowledge and to teach students to think…

Presents an activity, "Lisa's Lemonade Stand," that actively engages students in algebraic thinking as they analyze change by investigating relationships between variables and gain experience describing and representing these relationships graphically. (YDS)

Presents an alternate approach to teaching quadratics by fully integrating the study of quadratic equations and quadratic functions using graphs. Includes reproducible student worksheets. (MKR)

Presents a teacher's guide and reproducible student worksheets to develop the procedure for finding the inverse of a function. (MKR)

Presents activities designed to help students bridge the gap between the graphical representation of a function and a verbal description. Includes a number of nonstandard graphs and reproducible student worksheets. (MKR)

Introduces an activity that focuses on Hooke's law to implement and furnish applications of linear equations and graphing in a physical situation. (KHR)

Presents an activity in which students draw a picture, analyze each line and curve, and write the symbolic equations represented by the graph. Includes reproducible student worksheets. (MKR)

Presents five lessons to demonstrate how graphing calculators can be used to teach the slope-intercept concept of linear equations and to establish more general principles about two-dimensional graphs. Contains a reproducible student quiz. (MKR)

Presents activities in which students study exponential growth and decay by collecting data, constructing graphs, and discovering algebraic formulas. (MKR)

The primary aim of this guide is to aid teachers in planning and preparing a senior high school mathematics course for students preparing for college work. It is divided into separate one-semester courses of seven chapters each. The first-semester course consists of a traditional approach to the introduction of trigonometry and trigonometric…